288988644672 has 224 divisors, whose sum is σ = 1045628998400. Its totient is φ = 76216743936.

The previous prime is 288988644667. The next prime is 288988644677. The reversal of 288988644672 is 276446889882.

288988644672 is a `hidden beast` number, since 2 + 8 + 89 + 8 + 86 + 4 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (288988644667) and next prime (288988644677).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 288988644672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288988644677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761647 + ... + 1076142.

It is an arithmetic number, because the mean of its divisors is an integer number (4667986600).

Almost surely, 2^288988644672 is an apocalyptic number.

It is an amenable number.

288988644672 is an abundant number, since it is smaller than the sum of its proper divisors (756640353728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288988644672 is a wasteful number, since it uses less digits than its factorization.

288988644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837830 (or 1837814 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 288988644672 in words is "two hundred eighty-eight billion, nine hundred eighty-eight million, six hundred forty-four thousand, six hundred seventy-two".